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Question

By selling an item for ₹75, the shopkeeper earns the percent profit equal to cost price of the item. Find the cost price of the item.


A

30

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B

50

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C

40

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D

20

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Solution

The correct option is B

50


Let the cost price be x
Profit on the item is 75x

Profit % = S.PC.PC.P×100

=75xx×100

Given that the profit percentage is equal to the cost price.

75xx×100=x
x2=7500100x
x27500+100x=0
x2+150x50x7500=0
x(x+150)50(x+150)=0
(x+150)(x50)=0
x=150 or 50

Cost price of an item cannot be negative. So, the cost price is ₹50


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